MARC details
000 -LEADER |
fixed length control field |
02454nam a22003017a 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20241023201717.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781493999149 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
NISER LIBRARY |
Language of cataloging |
eng |
Transcribing agency |
NISER LIBRARY |
041 ## - LANGUAGE CODE |
Language code of text/sound track or separate title |
English |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
511.2 |
Item number |
ONO-I |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Ono, Takashi |
245 ## - TITLE STATEMENT |
Title |
Introduction to algebraic number theory |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc. |
Japan : |
Name of publisher, distributor, etc. |
Springer, |
Date of publication, distribution, etc. |
1990. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xi, 223p. : |
Other physical details |
ill. ; |
Dimensions |
24 cm. |
490 ## - SERIES STATEMENT |
Series statement |
The University series in mathematics |
500 ## - GENERAL NOTE |
General note |
Translation of: Sūron josetsu. |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references (p. 216-220) and index. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
This book is a translation of my book Suron Josetsu (An Introduction to Number Theory), Second Edition, published by Shokabo, Tokyo, in 1988. The translation is faithful to the original globally but, taking advantage of my being the translator of my own book, I felt completely free to reform or deform the original locally everywhere. When I sent T. Tamagawa a copy of the First Edition of the original work two years ago, he immediately pointed out that I had skipped the discussion of the class numbers of real quadratic fields in terms of continued fractions and (in a letter dated 2/15/87) sketched his idea of treating continued fractions without writing explicitly continued fractions, an approach he had first presented in his number theory lectures at Yale some years ago. Although I did not follow his approach exactly, I added to this translation a section (Section 4. 9), which nevertheless fills the gap pointed out by Tamagawa. With this addition, the present book covers at least T. Takagi's Shoto Seisuron Kogi (Lectures on Elementary Number Theory), First Edition (Kyoritsu, 1931), which, in turn, covered at least Dirichlet's Vorlesungen. It is customary to assume basic concepts of algebra (up to, say, Galois theory) in writing a textbook of algebraic number theory. But I feel a little strange if I assume Galois theory and prove Gauss quadratic reciprocity. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Algebraic number theory |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Galois theory |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Algebra |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Number theory |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Table of contents |
Uniform Resource Identifier |
<a href="https://link.springer.com/content/pdf/bfm:978-1-4613-0573-6/1">https://link.springer.com/content/pdf/bfm:978-1-4613-0573-6/1</a> |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Reviews |
Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/79746472-an-introduction-to-algebraic-number-theory-university-series-in-mathema?ref=nav_sb_ss_1_13#CommunityReviews">https://www.goodreads.com/book/show/79746472-an-introduction-to-algebraic-number-theory-university-series-in-mathema?ref=nav_sb_ss_1_13#CommunityReviews</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
Book |
Source of classification or shelving scheme |
Universal Decimal Classification |